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Finding the Third Proportional to 5,374,811 and 11,694,363

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Solution

The third proportional to 5,374,811 and 11,694,363 is: 25,444,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374,811 : 11,694,363 = 11,694,363 : x
  2. Step 2: Convert to fraction form
    5,374,811/11,694,363 = 11,694,363/x
  3. Step 3: Cross multiply
    5,374,811x = 11,694,363 × 11,694,363
  4. Step 4: Simplify right side
    5,374,811x = 136,758,125,975,769
  5. Step 5: Solve for x
    x = 136,758,125,975,769/5,374,811
  6. Step 6: Final answer
    x = 25,444,266.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.